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12344101313143 = 192311103038273
BaseRepresentation
bin1011001110100001010111…
…0001100001101001110111
31121201002021122101221222211
42303220111301201221313
53104221204414010033
642130445111234251
72412555223634005
oct263502561415167
947632248357884
1012344101313143
113a2a116421436
121474452678987
136b70751a5852
14309659c95a75
151661721a02cd
hexb3a15c61a77

12344101313143 has 12 divisors (see below), whose sum is σ = 13448242636608. Its totient is φ = 11317172670720.

The previous prime is 12344101313059. The next prime is 12344101313161. The reversal of 12344101313143 is 34131310144321.

It is a de Polignac number, because none of the positive numbers 2k-12344101313143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344101313443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551507946 + ... + 551530327.

It is an arithmetic number, because the mean of its divisors is an integer number (1120686886384).

Almost surely, 212344101313143 is an apocalyptic number.

12344101313143 is a deficient number, since it is larger than the sum of its proper divisors (1104141323465).

12344101313143 is a wasteful number, since it uses less digits than its factorization.

12344101313143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103038342 (or 1103038323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 12344101313143 its reverse (34131310144321), we get a palindrome (46475411457464).

The spelling of 12344101313143 in words is "twelve trillion, three hundred forty-four billion, one hundred one million, three hundred thirteen thousand, one hundred forty-three".

Divisors: 1 19 31 361 589 11191 1103038273 20957727187 34194186463 398196816553 649689542797 12344101313143